   We finish this section with the the digital Lusternik-Schnirelmann category \(cat_{\kappa }(X)\)  of the image \((X,\kappa )\) . In [1]}, \(X\)  is covered with \((k+1)\)  sets \(U_{1}, U_{2}, ..., U_{k+1}\)  in the definition of the digital L-S category. We note that we use \(k\)  sets \(U_{1}, U_{2}, ..., U_{k}\)  to do it.
